LCM of 310, 362, 520, 494
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 362, 520, 494 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 310, 362, 520, 494. So, keep reading to learn more.
Given numbers are 310,362,520,494
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,362,520,494 is 55436680.
Find LCM of 310,362,520,494 with Prime Factorization
| 2 | 310, 362, 520, 494 |
| 5 | 155, 181, 260, 247 |
| 13 | 31, 181, 52, 247 |
| 31, 181, 4, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 31 x 181 x 4 x 19 = 55436680
Therefore, the lowest common multiple of 310,362,520,494 is 55436680.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
310 x 362 x 520 x 494 = 28827073600
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
310 : 1, 2, 5, 10, 31, 62, 155, 310
362 : 1, 2, 181, 362
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
494 : 1, 2, 13, 19, 26, 38, 247, 494
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,362,520,494, is 2.
Now, the common factors can be found like this.
310:2x 5x 31
362:2x 181
520:2x 2x 2x 5x 13
494:2x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 13 = 260
Therefore, the value for common factors is 260.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 28827073600/(2x260)
LCM = 28827073600/520
LCM = 55436680
Thus, we can understand that the LCM of 310,362,520,494 is 55436680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 310, 362, 520, 494
1. What is the LCM of 310, 362, 520, 494?
Answer: LCM of 310, 362, 520, 494 is 55436680.
2. How to calculate the LCM of 310, 362, 520, 494?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 310, 362, 520, 494.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.